Answer:
[tex]\frac{2}{5}[/tex]
Step-by-step explanation:
The reciprocal of [tex]\frac{9}{11}[/tex] is [tex]\frac{11}{9}[/tex]
The additive inverse of - [tex]\frac{18}{55}[/tex] is [tex]\frac{18}{55}[/tex] , then
[tex]\frac{11}{9}[/tex] × [tex]\frac{18}{55}[/tex] ( cancel 11 and 55 by 11 and 9 and 18 by 9 )
= 1 × [tex]\frac{2}{5}[/tex]
= [tex]\frac{2}{5}[/tex]